Use our free GCF of Fractions Calculator tool to compute the GCF of 104/684, 429/989 i.e 13/676476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 104/684, 429/989.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 104/684,429/989
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 104/684,429/989, numerators are 104,429
Denominators are 684,989
The GCF of 104,429 is 13 .
LCM of 684,989 is 676476.
The greatest common factor of 104/684,429/989 = [GCF of 104,429]/[LCM of 684,989]= 13/676476
Therefore, the GCF of 104/684,429/989 is 13/676476.
To find the highest common factor of 104,429, we have to find the factors of both numbers and list the highest common factor.
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The HCF of 104,429 is 13.
Lets's calculate GCF of 104,429
13 | 104, 429 |
8, 33 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 104,429 . The biggest common factor number is the GCF number.
So the greatest common factor 104,429 is 13.
Lets's calculate LCM of 684,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 676476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/676476
Therefore, the GCF of Fractions 104/684,429/989 is 13/676476
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 684,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,989) x common factors =1 x 1 = 1
LCM(684,989) = ( 684 × 989 ) / 1
LCM(684,989) = 676476 / 1
LCM(684,989) = 676476
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 104,429?
The HCF of 104,429 is 13
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 104/684, 429/989?
Answer: GCF of Numerators as per given numbers 104/684, 429/989 is
GCF of Numerators i.e. for 104,429 is 13
LCM of denominators i.e. for 684,989 is 676476.
Thus, GCF of Fractions is 13/676476.Finally, GCF of Fractions for 104/684, 429/989 is 13/676476.